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Finding the Fourth Proportional to 256,704.58, 384,720.60 and 123,319.45

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Solution

The fourth proportional to 256,704.58, 384,720.60 and 123,319.45 is: 184,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,704.58 : 384,720.60 = 123,319.45 : x
  2. Step 2: Convert to fraction form
    256,704.58/384,720.60 = 123,319.45/x
  3. Step 3: Cross multiply
    256,704.58x = 384,720.60 × 123,319.45
  4. Step 4: Simplify right side
    256,704.58x = 47,443,530,872.07
  5. Step 5: Solve for x
    x = 47,443,530,872.07/256,704.58
  6. Step 6: Final answer
    x = 184,817.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.